First and foremost, keep an eye on that FC. 2 is your absolute minimum level so I would dose it up to 6. This time of year you won't go through as much FC as mid-August, but test and dose daily until you get a good feel for daily FC usage.
You might do the same with PH, see how it behaves and if you find it constantly drifting up then you can add acid, but it isn't critical to reduce it right now given that your PH is within target.
Can't say I have ever heard a heater requiring CH..... CH doesn't matter for a vinly pool (unless you get it way too high and get scaling), though I suppose your heater mfg could void the warranty if they could somehow prove you didn't maintain according to their specs. The only harm in adding CH is the money it costs you. Maybe others will have thoughts on CH for the heater...?